Some applications of Griffiths theorem in theory of Feynman integrals
arXiv:1705.04811
Abstract
The present paper provides a method for finding partial differential equations satisfied by the Feynman integrals for diagrams of various types, using the Griffiths theorem on the reduction of poles of rational differential forms. As an application, an algorithm for computing partial differential equations satisfied by Feynman integrals for diagrams of a ladder type is described.
10 pages, 1 figure